Develop an M-file to solve a system of ODEs with Euler’s method. Design the M-file so that it creates a plot of the results. Test your program by using it to solve Prob. 22.7 with a step size of 0.25.

Data From Problem 22.7

Solve the following pair of ODEs over the interval  from t = 0 to 0.4 using a step size of 0.1. The initial conditions  are y(0) = 2 and z(0) = 4. Obtain your solution with  

(a) Euler’s method and 

(b) The fourth-order RK method. Display  your results as a plot.